Browse > Article

http://dx.doi.org/10.12989/csm.2013.2.4.389
###

Seismic response analysis of an oil storage tank using Lagrangian fluid elements |

Nagashima, Toshio
(Department of Engineering and Applied Sciences, Faculty of Science and Technology, Sophia University)
Tsukuda, Takenari (Department of Engineering and Applied Sciences, Faculty of Science and Technology, Sophia University) |

Publication Information

Abstract

Three-dimensional Lagrangian fluid finite element is applied to seismic response analysis of an oil storage tank with a floating roof. The fluid element utilized in the present analysis is formulated based on the displacement finite element method considering only volumetric elasticity and its element stiffness matrix is derived by using one-point integration method in order to avoid volumetric locking. The method usually adds a rotational penalty stiffness to satisfy the irrotational condition for fluid motion and modifies element mass matrices through the projected mass method to suppress spurious hourglass-mode appeared in compensation for one-point integration. In the fluid element utilized in the present paper, a small hourglass stiffness is employed. The fluid and structure domains for the objective oil storage tank are modeled by eight-node solid elements and four-node shell elements, respectively, and the transient response of the floating roof structure or the free surface are evaluated by implicit direct time integration method. The results of seismic response analyses are compared with those by other method and the validation of the present analysis using three-dimensional Lagrangian fluid finite elements is shown.

Keywords

FEM; fluid element; fluid-structure interaction; oil storage tank; seismic response;

Citations & Related Records

- Reference

1 | Calayir, Y. and Dumanoglu, A.A. (1993), "Static and dynamic analysis of fluid and fluid-structure systems by the Lagrangian method", Comput. Struct., 49(4) , 625-632. DOI ScienceOn |

2 | Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall. |

3 | Belytschko, T. and Bindeman, L.P. (1993), "Assumed strain stabilization of the eight node hexahedral element", Comput. Meth. Appl. Mech. Eng., 105(2), 225-260. DOI ScienceOn |

4 | Chen, H.C. and Taylor, R.L. (1990), "Vibration analysis of fluid-solid systems using a finite element displacement formulation", Numer. Meth. Eng,, 29(4), 683-698. DOI |

5 | Dogangun, A., Durmus, A. and Ayvaz, Y. (1996), "Static and dynamic analysis of rectangular tanks by using the Lagrangian fluid finite element", Comput. Struct., 59(3), 547-552. DOI ScienceOn |

6 | Fung, Y.C. (1965), Foundations of Solid Mechanics, Englewood Cliffs, NJ, USA. |

7 | Hamdan, F.H. (1999), "Near-field fluid-structure interaction using Lagrangian fluid finite elements", Comput. Struct., 71(2), 123-141. DOI ScienceOn |

8 | Matsui, T. (2007), "Sloshing in a cylindrical liquid storage tank with a floating roof under seismic excitation", J. Press. Vess. T. - ASME, 129(4), 557-566. DOI ScienceOn |

9 | Nishi, H., Yamada, M., Zama, S., Hirokawa, Y., Sekine, K., Misawa, C. and Mikoshiba, T. (2010), "Experimental study on sloshing behavior of floating roofs by using small-scale cylindrical tank", High Pressure Res., 45(3), 2-10. |

10 | Ormeno, M., Larkin, T. and Chouw, N. (2012), "Influence of uplift on liquid storage tanks during earthquakes", Coulped Syst. Mech. Int. J., 1(4), 311-324. |

11 | Parrinello, F. and Borino, G. (2007), "Lagrangian finite element modelling of dam-fluid interaction: Accurate absorbing boundary conditions", Comput. Struct., 85(11-14), 923-943. DOI ScienceOn |

12 | Yoshida, S., Sekine, K. and Mitsuta, T. (2008), "Element analysis for sloshing response of floating roofs in cylindrical storage tanks", T. Jpn. Soc. Mech. Eng., 74(740), 814-822. http://www.k-net.bosai.go.jp/ DOI |

13 | Ibrahim, R.A. (2005), Liquid Sloshing Dynamics: Theory and Applications, Cambridge University Press. |

14 | Kim, Y.S. and Yun, C.B. (1997), "A spurious free four-node displacement-based fluid element for fluid-structure interaction", Eng. Struct., 19(8), 665-678. DOI ScienceOn |

15 | Matsui, T. (2009), "Sloshing in a cylindrical liquid storage tank with a single-deck type floating roof under seismic excitation", J. Press. Vess. T. - ASME, 131(2), 021303, 1-10. |

16 | Nagashima, T., Tsukuda, T., Suemasu, H. and Sogabe, K. (2011), "Seismic response analysis methods of an oil storage tank with a floating roof by a strong coupling method", Eng. Computation., 28(6), 701-716. DOI ScienceOn |

17 | Nagashima, T. (2006), "Numerical simulation of the seismic response of a thin-walled cylindrical liquid storage tank", Proceedings of the 1st International Symposium for Integrated Predictive Simulation System for Earthquake and Tsunami Disaster, Tokyo, Japan, October. |

18 | Nishi, H., Yamada, M., Zama, S., Hatayama, K. and Sekine, K. (2008a), "Experimental study on the sloshing behavior the floating roof using a real tank", High Pressure Res., 46, 4-17. |

19 | Nishi, H., Yamada, M. and Zama, S. (2008b), "Experimental study of floating roof integrity for seismic sloshing under long-period strong ground motion", Proceedings of the 2nd International Symposium for Integrated Predictive Simulation System for Earthquake and Tsunami Disaster, Tokyo, Japan, October. |

20 | Wilson, E.L. and Khalvati, M. (1983), "Finite elements for the dynamic analysis of fluid-solid systems", Numer. Meth., 19(11), 1657-1668. DOI ScienceOn |

21 | Belytschko, T., Liu, W.K. and Moran, B. (2000), Nonlinear Finite Elements for Continua and Structures, John Wiley & Sons, Ltd. |

22 | Koketsu, K., Hatayama, K., Furumura, T., Ikegami, Y. and Akiyama, S. (2005), "Damaging long-period ground motions from the 2003 Mw 8.3 Tokachi-oki, Japan Earthquake", Seismol. Res. Lett., 76(1), 58-64. DOI |